Theorems · Theorem · general topology

AbstractCompletion.extend_coe

∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α) {β : Type uβ} [inst_1 : UniformSpace β]
  {f : α → β} [T2Space β], UniformContinuous f → ∀ (a : α), pkg.extend f (pkg.coe a) = f a

Defined in

Mathlib.Topology.UniformSpace.AbstractCompletion

Cited by

8 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpaceT2Space